122156546400 has 432 divisors, whose sum is σ = 521252825184. Its totient is φ = 26278871040.

The previous prime is 122156546287. The next prime is 122156546429. The reversal of 122156546400 is 4645651221.

122156546400 is a `hidden beast` number, since 1 + 2 + 2 + 1 + 5 + 6 + 5 + 4 + 640 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 785514 + ... + 928086.

It is an arithmetic number, because the mean of its divisors is an integer number (1206603762).

Almost surely, 2^122156546400 is an apocalyptic number.

122156546400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122156546400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260626412592).

122156546400 is an abundant number, since it is smaller than the sum of its proper divisors (399096278784).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122156546400 is a wasteful number, since it uses less digits than its factorization.

122156546400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142623 (or 142607 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 122156546400 in words is "one hundred twenty-two billion, one hundred fifty-six million, five hundred forty-six thousand, four hundred".